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jok3333 [9.3K]
3 years ago
8

Find the distance between 2-3i and 9+21i

Mathematics
1 answer:
Andre45 [30]3 years ago
6 0

Answer:

  25

Step-by-step explanation:

The distance is the magnitude of the difference:

  |(2 -3i) -(9 +21i)| = |-7 +24i| = √((-7)² +24²) = √625 = 25

The distance between the two points in the complex plane is 25 units.

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Use the product property of roots to choose the expression equivalent to 3√5x*3√25x^2?
nignag [31]

Answer: \sqrt[3]{125x^3}.


Step-by-step explanation: Given radical expression

\sqrt[3]{5x} \times \sqrt[3]{25x^2}.

According to the product property of roots.

\sqrt[n]{a} \times \sqrt[n]{b} = \sqrt[n]{a \times b}

On applying above rule, we get

\sqrt[3]{5x} \times \sqrt[3]{25x^2} = \sqrt[3]{5x \times 25x^2}

5 × 25 = 125 and

x \times x^2 = x^3

Therefore,

\sqrt[3]{5x \times 25x^2}= \sqrt[3]{125x^3}

<h3>So, the correct option would be second option \sqrt[3]{125x^3}.</h3>

3 0
3 years ago
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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of
ser-zykov [4K]

Answer: graph E.


A geometric sequence can be written as:

a_{n} = a_{1} \cdot r^{(n - 1)}

where:

a₁ = first term = 4

r = ratio = 0.5


Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

or else

f(x) = 4 \cdot (\frac{1}{2})^{x - 1}


This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4

f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.




3 0
3 years ago
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A model of an airplane is 8 inches long. If the actual airplane is 32 feet, find the scale of the model.
frozen [14]
The most appropriate answer is C !!
4 0
3 years ago
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Dana needs 4.25 cups of flour to make 5 dozen cookies. How
Ne4ueva [31]

Answer:

C. 0.85 cups

Step-by-step explanation:

4.25/5 = 0.85

5 0
3 years ago
Please help ASAP :ppppp
Morgarella [4.7K]

Answer:

I think it's c

Step-by-step explanation:

6 0
3 years ago
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